PoS - Proceedings of Science
Volume 347 - Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2018) - Session: Dualities and Generalized Geometries
String Theory and Nonrelativistic Gravity
E. Bergshoeff* and C. Simsek
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Published on: September 19, 2019
We identify the proper geometry underlying non-relativistic string theory as 'String Newton-Cartan Gravity'. It has the distinguishing feature that one-dimensional foliation in Newton-Cartan geometry is replaced by a two-dimensional foliation on the target space. We discuss some basic properties of the string Newton-Cartan space-time, in particular it's behaviour under T-duality transformations. This leads to interesting non-relativistic conformal field theories at the boundary that have applications in condensed matter physics.
DOI: https://doi.org/10.22323/1.347.0134
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